189 citations · 267 across the 7 of their papers we have counts for
3 papers · 2 filters
The theory of individual based discrete-time processes
Joseph D. Challenger, Duccio Fanelli, Alan J. McKane
A general theory is developed to study individual based models which are discrete in time. We begin by constructing a Markov chain model that converges to a one-dimensional map in…
Intrinsic noise and discrete-time processes
Joseph D. Challenger, Duccio Fanelli, Alan J. McKane
A general formalism is developed to construct a Markov chain model that converges to a one-dimensional map in the infinite population limit. Stochastic fluctuations are therefore i…
Synchronisation of stochastic oscillators in biochemical systems
Joseph D. Challenger, Alan J. McKane
A formalism is developed which describes the extent to which stochastic oscillations in biochemical models are synchronised. It is based on the calculation of the complex coherence…